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arXiv 1705.07623math.CO
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基于三值Gauss周期的强正则Cayley图的构造

Construction of strongly regular Cayley graphs based on three-valued Gauss periods

Koji Momihara

摘要:

本文给出了有限域的可加群上基于三值高斯周期的强正则Cayley图的构造。作为结果,我们得到了两个新的强正则凯莱图的无限族和一个零星的例子。这种构造可以看作是\cite{BLMX}中强正则Cayley图构造的推广.

英文摘要:

In this paper, we give a construction of strongly regular Cayley graphs on the additive groups of finite fields based on three-valued Gauss periods. As consequences, we obtain two infinite families and one sporadic example of new strongly regular Cayley graphs. This construction can be viewed as a generalization of that of strongly regular Cayley graphs obtained in \cite{BLMX}.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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